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Finding the Third Proportional to 71,012 and 153,098

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Solution

The third proportional to 71,012 and 153,098 is: 330,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,012 : 153,098 = 153,098 : x
  2. Step 2: Convert to fraction form
    71,012/153,098 = 153,098/x
  3. Step 3: Cross multiply
    71,012x = 153,098 × 153,098
  4. Step 4: Simplify right side
    71,012x = 23,438,997,604
  5. Step 5: Solve for x
    x = 23,438,997,604/71,012
  6. Step 6: Final answer
    x = 330,070.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.